Question

I have a total of 300 in coins of denomination 1, 2 and * 5. The number of 2 coins is 3 times the number of 5 coins. The total number of coins is 160. How many coins of each denomination are with me?​

Answer 1

Answer:

Number of coins with denomination 1 = 80

Number of coins with denomination 2=60

Number of coins with denomination 5= 20

Step-by-step explanation:

Let the number of coins with denomination 5 be 'a'

Let the number of coins with denomination 1 be 'x'

According to the question

3a+a+x=160 (1)

1x+ 2(3a) +5a=300 (2)

by solving both the equation we get

a=20

Hence,

Number of coins with denomination 1 = 160-4a=160-80=80

Number of coins with denomination 2= 3a= 60

Number of coins with denomination 5= a=20